11105106072 has 32 divisors (see below), whose sum is σ = 27841434480. Its totient is φ = 3691212800.

The previous prime is 11105106071. The next prime is 11105106079. The reversal of 11105106072 is 27060150111.

11105106072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105106071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646929 + ... + 663872.

Almost surely, 2^11105106072 is an apocalyptic number.

11105106072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11105106072 is an abundant number, since it is smaller than the sum of its proper divisors (16736328408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11105106072 is a wasteful number, since it uses less digits than its factorization.

11105106072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311163 (or 1311159 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 11105106072 its reverse (27060150111), we get a palindrome (38165256183).

The spelling of 11105106072 in words is "eleven billion, one hundred five million, one hundred six thousand, seventy-two".